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各向异性分层介质电磁场并矢Green函数的混合

发布日期:2014-07-08| 阅读次数: | 关键字:38-4 | 作者:陈桂波,潘轶群,张烨 | 来源:长春理工大学学报:自然科学版 2015 Vol.38(4): 138-143

各向异性分层介质电磁场并矢Green函数的混合算法

陈桂波1,潘轶群2,张烨1

1.长春理工大学理学院,长春1300222.长春市农业机械研究院,长春130062

摘要:提出一种兼顾精度与效率且不受参数范围限制的各向异性分层介质电磁场并矢Green 函数的混合算法,并研究其在求解层状介质电磁响应中的应用。首先给出四种场型并矢Green 函数在均匀各向异性介质中的闭合解析解以及在层状各向异性介质中的Sommerfeld 积分表示,并重点考察了场源横向距离为零时的解;然后通过对比分析Sommerfeld 积分的各种计算方法的优缺点及适用条件,得到一种根据参数范围自动选配最优计算方案的混合算法,并研究了特殊几何模型情况下全空间上并矢Green 函数的高效计算问题;最后利用所提出的算法考察了层状各向异性介质背景下偶极子的辐射等实际问题。

关键词:混合算法;并矢Green函数;Sommerfeld积分;各向异性介质

中图分类号: O441.3 文献标识码:A 文章编号:1672-9870201504-0138-06

 

A Hybrid Algorithm for Calculating of Dyadic Green’s Function in Layered Anisotropic Medium

CHEN Guibo1PAN Yiqun2ZHANG Ye1

1.School of ScienceChangchun University of Science and TechnologyChangchun 130022

2.Changchun Agriculture Machinery Research InstituteChangchun 130062

AbstractIn this papera hybrid algorithm is developedwhich is not only compatible for precision and efficiency but also independent of bound of arguments for calculating of dyadic Green’s function in a layered anisotropic earth; and its applications for computation of electromagnetic response in layered earth are studied. Firstlyentire analytic solutions in homogeneous anisotropic earth and expression of Sommerfeld integrals in layered anisotropic earth for four kinds of field dyadic Green’s functions are given. Especiallythe solution for the case of the distance of receiver and transmitter being zero is investigated. Characteristic and suited conditions of some usual computational methods of Sommerfeld integrals are analyzed and contrasted. Then a hybrid algorithm of matching optimal methods is obtained due to the range of argumentsand the efficient method of calculating dyadic Green’s functions for whole space in special geometrical model is studied. Furthermorethe radiation of dipole in a layered anisotropic earth is investigated.

Key wordshybrid algorithmdyadic Green’s functionSommerfeld integralsanisotropic medium

 

基金项目:国家自然科学基金资助(4100404241404109

作者简介:陈桂波(1979-),男,副教授,硕士生导师,E-mailguibochen@126.com

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